Simplification: (B-C) / (a ^ 2-ab-ac + BC) + (C-A) / (b ^ 2-bc-ab + AC) + (a-b) / (C ^ 2-ac-bc + AB) Simplification: (b-c)/(a^2-ab-ac+bc)+(c-a)/(b^2-bc-ab+ac)+(a-b)/(c^2-ac-bc+ab)

Simplification: (B-C) / (a ^ 2-ab-ac + BC) + (C-A) / (b ^ 2-bc-ab + AC) + (a-b) / (C ^ 2-ac-bc + AB) Simplification: (b-c)/(a^2-ab-ac+bc)+(c-a)/(b^2-bc-ab+ac)+(a-b)/(c^2-ac-bc+ab)

A & sup2; - AB AC + BC = (a-b) (A-C) B & sup2; - BC AB + AC = (B-A) (B-C) C & sup2; - AC BC + AB = (C-A) (C-B) so, the original formula = (B-C) / [(a-b) (a-C)] + (C-A) / [(B-A) (B-C)] + (a-b) / [(C-A) (C-B)] = [(A-C) - (a-b)] / [(a-b) (A-C)] + [(B-A) - (B-C) = [(a-b) / [(B-A) - (B-C)]